We assume that in a village there are farmers, carpenters, and tailors, who provide the three essential goods: food, housing, and clothing. suppose the farmers consume 2/5 of the food (produced by farmers), 1/3 of the housing (produced by carpenters) and 1/2 of the clothes (produced by tailors). the carpenter consumes 2/5 of the food, 1/3 of the housing, and 1/2 of the clothes. the tailors consume 1/5 of the food, 1/3 of the housing, and no clothes. assume this is a closed leontief model.
if we know that the tailors produce 688 units of clothes,
then the farmers produce units of food,
and the carpenters produce units of housing.